5. The productivity of a manufacturing company is given approximately by the function f(x, y) = 20x y05 with the utilization of x units of labor and y units of capital. a) Find f:(x, y) and f:(x, y). b) If the company is currently using 200 units of labor and 100 units of capital, find the marginal productivity of labor and the marginal productivity of capital. c) For the greatest increase in the company's productivity, what should the management encourage: Increased use of labor or increased use of capital?
5. The productivity of a manufacturing company is given approximately by the function f(x, y) = 20x y05 with the utilization of x units of labor and y units of capital. a) Find f:(x, y) and f:(x, y). b) If the company is currently using 200 units of labor and 100 units of capital, find the marginal productivity of labor and the marginal productivity of capital. c) For the greatest increase in the company's productivity, what should the management encourage: Increased use of labor or increased use of capital?
Chapter3: Functions
Section3.3: Rates Of Change And Behavior Of Graphs
Problem 3SE: How are the absolute maximum and minimum similar to and different from the local extrema?
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Transcribed Image Text:5. The productivity of a manufacturing company is given approximately by
the function f(x, y) = 20x y05 with the utilization of x units of labor and y
units of capital.
a) Find f:(x, y) and fy(x, y).
b) If the company is currently using 200 units of labor and 100 units of
capital, find the marginal productivity of labor and the marginal
productivity of capital.
c) For the greatest increase in the company's productivity, what should
the management encourage: Increased use of labor or increased use of
capital?
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